179.7 is what percent of 740 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 740 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 740, so we can write it down as 100%=740.
4. We know, that x% equals 179.7 of the output value, so we can write it down as x%=179.7.
5. Now we have two simple equations:
1) 100%=740
2) x%=179.7
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=740/179.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 179.7 is what percent of 740

100%/x%=740/179.7
(100/x)*x=(740/179.7)*x       - we multiply both sides of the equation by x
100=4.1179744017807*x       - we divide both sides of the equation by (4.1179744017807) to get x
100/4.1179744017807=x
24.283783783784=x
x=24.283783783784

now we have:
179.7 is 24.283783783784% of 740